Applications in Multivalued Logic
Antonio Boccuto, Beloslav Riečan, Marta Vrábelová · BENTHAM SCIENCE PUBLISHERS eBooks · 2009
This chapter contains an introduction to the theory of MV-algebras and states, together with the notion of observable. It is proved that every probability MV-algebra is weakly σ-distributive and some applications to intuitionistic fuzzy sets (IF-sets) are given. Furthermore we show that the probability theory of IF-sets can be considered as a particular case of the probability theory on a suitable MV-algebra.